Mixed finite elements for Bingham flow in a pipe

Thumbnail Image
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal
View/Open full text file from the Research portal
Other link related to publication
Author
Date
2022-11-10
Department
Department of Mathematics and Systems Analysis
Major/Subject
Mcode
Degree programme
Language
en
Pages
819–840
Series
Numerische Mathematik, Volume 152, issue 4
Abstract
We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.
Description
Keywords
DOI
10.1007/s00211-022-01332-w
Citation
Gustafsson , T & Lederer , P 2022 , ' Mixed finite elements for Bingham flow in a pipe ' , Numerische Mathematik , vol. 152 , no. 4 , pp. 819–840 . https://doi.org/10.1007/s00211-022-01332-w
Permanent link to this item
https://urn.fi/URN:NBN:fi:aalto-202211236589
Collections
[article-cris] Perustieteiden korkeakoulu / SCI